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13013022440 = 2351124635807
BaseRepresentation
bin11000001111010001…
…01111011011101000
31020120220022000220002
430013220233123220
5203122313204230
65551134122132
7640321602635
oct140750573350
936526260802
1013013022440
11557856a400
122632050348
1312c4cb11a2
148b639918c
15512675545
hex307a2f6e8

13013022440 has 96 divisors (see below), whose sum is σ = 32258096640. Its totient is φ = 4720974720.

The previous prime is 13013022439. The next prime is 13013022467. The reversal of 13013022440 is 4422031031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2238017 + ... + 2243823.

It is an arithmetic number, because the mean of its divisors is an integer number (336021840).

Almost surely, 213013022440 is an apocalyptic number.

13013022440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13013022440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16129048320).

13013022440 is an abundant number, since it is smaller than the sum of its proper divisors (19245074200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13013022440 is a wasteful number, since it uses less digits than its factorization.

13013022440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6303 (or 6288 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13013022440 its reverse (4422031031), we get a palindrome (17435053471).

The spelling of 13013022440 in words is "thirteen billion, thirteen million, twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 463 484 605 926 968 1210 1852 2315 2420 3704 4630 4840 5093 5807 9260 10186 11614 18520 20372 23228 25465 29035 40744 46456 50930 56023 58070 63877 101860 112046 116140 127754 203720 224092 232280 255508 280115 319385 448184 511016 560230 638770 702647 1120460 1277540 1405294 2240920 2555080 2688641 2810588 3513235 5377282 5621176 7026470 10754564 13443205 14052940 21509128 26886410 28105880 29575051 53772820 59150102 107545640 118300204 147875255 236600408 295750510 325325561 591501020 650651122 1183002040 1301302244 1626627805 2602604488 3253255610 6506511220 13013022440